Skip to main content
Log in

Skew products of relations and the structure of simpleC-algebras

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Blackadar, B.: A simpleC *-algebra with no nontrivial projections. Proc. Amer. Math. Soc.78, 504–508 (1980)

    Google Scholar 

  2. Blackadar, B.: A simple unital projectionlessC *-algebra. J. Operator Theory5, 63–71 (1981)

    Google Scholar 

  3. Blackadar, B.: A stable cancellation theorem for simpleC *-algebras. Proc. London Math. Soc.47, 303–305 (1983)

    Google Scholar 

  4. Blackadar, B.: Notes on the structure of projections in simpleC *-algebras. Semesterbericht Funktionalanalysis, Tübingen, W83

  5. Blackadar, B.: Shape theory forC *-algebras. To appear in Math. Scand.

  6. Blackadar, B., Handelman, D.: Dimension functions and traces onC *-algebras. J. Functional Anal.45, 297–340 (1982)

    Google Scholar 

  7. Bunce, J., Deddens, J.: A family of simpleC *-algebras related to weighted shift operators. J. Functional Analysis19, 13–24 (1975)

    Google Scholar 

  8. Connes, A.: An analogue of the Thom isomorphism for crossed products of aC *-algebra by an action of IR. Advances in Math.39, 31–55 (1981)

    Google Scholar 

  9. Conway, J.: On the Calkin algebra and the covering homotopy property. Trans. Amer. Math. Soc.211, 135–142 (1975)

    Google Scholar 

  10. Cuntz, J.: The structure of addition and multiplication in simpleC *-algebras. Math. Scand.40, 215–233 (1977)

    Google Scholar 

  11. Cuntz, J.: The internal structure of simpleC *-algebras. Proc. Symp. Pure Math.38 (ed. R.V. Kadison), AMS 1982

  12. Dixmier, J.:C *-Algebras. Amsterdam: North-Holland 1977

    Google Scholar 

  13. Dixmier, J., Douady, A.: Champs continus d'espaces Hilbertiens et deC *-algèbres. Bull. Soc. Math. France91, 227–284 (1963)

    Google Scholar 

  14. Effros, E., Hahn, F.: Locally compact transformation groups andC *-algebras. Mem. Amer. Math. Soc. No.75 (1967)

  15. Grothendieck, A.: Le group de Brauer, I: algèbres d'Azumaya et interpretations diverses. Séminaire Bourbaki 1964/65, Exposé 290

    Google Scholar 

  16. Kumjian, A.: On localizations and simpleC *-algebras. Pacific J. Math.112, 141–192 (1984)

    Google Scholar 

  17. Kumjian, A.: Preliminary algebras arising from local homeomorphisms. Math. Scand.52, 269–278 (1983)

    Google Scholar 

  18. Kumjian, A.: OnC *-diagonals and twisted relations. Semesterbericht Funktionalanalysis, Tübingen, W83. Complete version in preparation

  19. Pedersen, G.: The linear span of projections in simpleC *-algebras. J. Operator Theory4, 289–296 (1980)

    Google Scholar 

  20. Raeburn, I., Taylor, J.: Continuous traceC *-algebras with given Dixmier-Douady class. To appear in J. Australian Math. Soc.

  21. Renault, J.: A groupoid approach toC *-algebras. Lecture Notes in Math.793. berlin Heidelberg New York: Springer 1980

    Google Scholar 

  22. Masuda, T.: Groupoid dynamical systems and crossed products II-the case ofC *-systems. To appear

  23. Ghatage, P.:C *-algebras generated by weighted shifts. Indiana Univ. Math. J.30, 539–545 (1981)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Blackadar, B., Kumjian, A. Skew products of relations and the structure of simpleC-algebras. Math Z 189, 55–63 (1985). https://doi.org/10.1007/BF01246943

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01246943

Navigation